A question of Bukh on sums of dilates
Brandon Hanson, Giorgis Petridis
TL;DR
This paper confirms Bukh's question by demonstrating that the sum of a set and its dilate doubles the set's size under certain conditions, contributing to additive combinatorics.
Contribution
It provides a positive answer to Bukh's question regarding the size of the sum of a set and its dilate, advancing understanding in additive number theory.
Findings
Confirmed that |A + 2A| can be large relative to |A|
Established conditions under which the sumset size doubles
Contributed to the theory of sumsets in additive combinatorics
Abstract
We answer in the affirmative a question of Bukh on the cardinality of the dilate sum .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsLimits and Structures in Graph Theory · Advanced Algebra and Geometry · Analytic Number Theory Research